%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : SYN158-1 : TPTP v9.0.0. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n023.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Jul 25 09:27:01 PM UTC 2025
% Result : Unsatisfiable 1.98s 0.60s
% Output : CNFRefutation 1.98s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_this)
% Comments :
%------------------------------------------------------------------------------
cnf(361,plain,
~ n5(a,a),
inference(cnf,[status(esa)],[prove_this]) ).
cnf(l0,plain,
~ n5(a,a),
inference(instantiation,[status(thm)],[361]) ).
cnf(343,plain,
( ~ q4(X0,X1)
| n5(X1,X1) ),
inference(cnf,[status(esa)],[rule_313]) ).
cnf(l1,plain,
( ~ q4(a,a)
| n5(a,a) ),
inference(instantiation,[status(thm)],[343]) ).
cnf(326,plain,
( ~ r1(X0)
| ~ l4(X1)
| ~ q4(X1,X2)
| q4(X0,X0) ),
inference(cnf,[status(esa)],[rule_296]) ).
cnf(l2,plain,
( ~ r1(a)
| ~ l4(d)
| ~ q4(d,d)
| q4(a,a) ),
inference(instantiation,[status(thm)],[326]) ).
cnf(159,plain,
( ~ s0(d)
| ~ q0(X0,X1)
| ~ q1(d,X1,d)
| r1(X0) ),
inference(cnf,[status(esa)],[rule_124]) ).
cnf(l4,plain,
( ~ s0(d)
| ~ q0(a,b)
| ~ q1(d,b,d)
| r1(a) ),
inference(instantiation,[status(thm)],[159]) ).
cnf(0,plain,
s0(d),
inference(cnf,[status(esa)],[axiom_1]) ).
cnf(l5,plain,
s0(d),
inference(instantiation,[status(thm)],[0]) ).
cnf(35,plain,
q0(a,b),
inference(cnf,[status(esa)],[axiom_36]) ).
cnf(l11,plain,
q0(a,b),
inference(instantiation,[status(thm)],[35]) ).
cnf(127,plain,
( ~ p0(X0,X1)
| ~ n0(X2,X3)
| q1(X1,X3,X1) ),
inference(cnf,[status(esa)],[rule_092]) ).
cnf(l9,plain,
( ~ p0(b,d)
| ~ n0(e,b)
| q1(d,b,d) ),
inference(instantiation,[status(thm)],[127]) ).
cnf(309,plain,
( ~ m0(X0,X1,X1)
| ~ l4(X0)
| l4(X1) ),
inference(cnf,[status(esa)],[rule_278]) ).
cnf(l7,plain,
( ~ m0(a,d,d)
| ~ l4(a)
| l4(d) ),
inference(instantiation,[status(thm)],[309]) ).
cnf(9,plain,
p0(b,d),
inference(cnf,[status(esa)],[axiom_10]) ).
cnf(l12,plain,
p0(b,d),
inference(instantiation,[status(thm)],[9]) ).
cnf(308,plain,
( ~ p3(X0,X1,X2)
| l4(X2) ),
inference(cnf,[status(esa)],[rule_277]) ).
cnf(l8,plain,
( ~ p3(a,a,a)
| l4(a) ),
inference(instantiation,[status(thm)],[308]) ).
cnf(l6,plain,
( ~ r1(d)
| ~ l4(b)
| ~ q4(b,b)
| q4(d,d) ),
inference(instantiation,[status(thm)],[326]) ).
cnf(l40,plain,
( ~ s0(d)
| ~ q0(d,b)
| ~ q1(d,b,d)
| r1(d) ),
inference(instantiation,[status(thm)],[159]) ).
cnf(325,plain,
( ~ q2(X0,X1,X2)
| ~ k3(X3,X3,X2)
| ~ m3(X0,X4,X0)
| q4(X2,X1) ),
inference(cnf,[status(esa)],[rule_295]) ).
cnf(l14,plain,
( ~ q2(b,b,b)
| ~ k3(b,b,b)
| ~ m3(b,b,b)
| q4(b,b) ),
inference(instantiation,[status(thm)],[325]) ).
cnf(18,plain,
m0(X0,d,X1),
inference(cnf,[status(esa)],[axiom_19]) ).
cnf(l13,plain,
m0(a,d,d),
inference(instantiation,[status(thm)],[18]) ).
cnf(276,plain,
( ~ n2(X0)
| p3(X0,X0,X0) ),
inference(cnf,[status(esa)],[rule_244]) ).
cnf(l24,plain,
( ~ n2(a)
| p3(a,a,a) ),
inference(instantiation,[status(thm)],[276]) ).
cnf(l51,plain,
s0(d),
inference(instantiation,[status(thm)],[0]) ).
cnf(10,plain,
n0(e,b),
inference(cnf,[status(esa)],[axiom_11]) ).
cnf(l34,plain,
n0(e,b),
inference(instantiation,[status(thm)],[10]) ).
cnf(212,plain,
( ~ q0(X0,X1)
| ~ n1(X0,X1,X2)
| q2(X1,X1,X1) ),
inference(cnf,[status(esa)],[rule_178]) ).
cnf(l16,plain,
( ~ q0(b,b)
| ~ n1(b,b,X0_177)
| q2(b,b,b) ),
inference(instantiation,[status(thm)],[212]) ).
cnf(28,plain,
q0(d,b),
inference(cnf,[status(esa)],[axiom_29]) ).
cnf(l52,plain,
q0(d,b),
inference(instantiation,[status(thm)],[28]) ).
cnf(l57,plain,
( ~ p0(b,d)
| ~ n0(a,b)
| q1(d,b,d) ),
inference(instantiation,[status(thm)],[127]) ).
cnf(l10,plain,
( ~ p3(b,b,b)
| l4(b) ),
inference(instantiation,[status(thm)],[308]) ).
cnf(171,plain,
( ~ p1(X0,X1,X2)
| n2(X2) ),
inference(cnf,[status(esa)],[rule_137]) ).
cnf(l149,plain,
( ~ p1(a,a,a)
| n2(a) ),
inference(instantiation,[status(thm)],[171]) ).
cnf(239,plain,
( ~ p2(X0,X1,X1)
| k3(X1,X0,X1) ),
inference(cnf,[status(esa)],[rule_206]) ).
cnf(l15,plain,
( ~ p2(b,b,b)
| k3(b,b,b) ),
inference(instantiation,[status(thm)],[239]) ).
cnf(13,plain,
p0(b,X0),
inference(cnf,[status(esa)],[axiom_14]) ).
cnf(l58,plain,
p0(b,d),
inference(instantiation,[status(thm)],[13]) ).
cnf(5,plain,
q0(b,b),
inference(cnf,[status(esa)],[axiom_6]) ).
cnf(l17,plain,
q0(b,b),
inference(instantiation,[status(thm)],[5]) ).
cnf(205,plain,
( ~ p0(X0,X0)
| ~ n1(X1,X1,X1)
| p2(X0,X0,X0) ),
inference(cnf,[status(esa)],[rule_171]) ).
cnf(l22,plain,
( ~ p0(b,b)
| ~ n1(c,c,c)
| p2(b,b,b) ),
inference(instantiation,[status(thm)],[205]) ).
cnf(14,plain,
n0(a,b),
inference(cnf,[status(esa)],[axiom_15]) ).
cnf(l61,plain,
n0(a,b),
inference(instantiation,[status(thm)],[14]) ).
cnf(270,plain,
( ~ p2(X0,X0,X0)
| m3(X0,X0,X0) ),
inference(cnf,[status(esa)],[rule_238]) ).
cnf(l28,plain,
( ~ p2(b,b,b)
| m3(b,b,b) ),
inference(instantiation,[status(thm)],[270]) ).
cnf(95,plain,
( ~ m0(X0,X1,X2)
| ~ m0(X1,X3,X3)
| n1(X2,X2,X0) ),
inference(cnf,[status(esa)],[rule_059]) ).
cnf(l42,plain,
( ~ m0(X0_177,d,b)
| ~ m0(d,d,d)
| n1(b,b,X0_177) ),
inference(instantiation,[status(thm)],[95]) ).
cnf(l176,plain,
m0(d,d,d),
inference(instantiation,[status(thm)],[18]) ).
cnf(111,plain,
( ~ p0(b,a)
| p1(a,a,a) ),
inference(cnf,[status(esa)],[rule_075]) ).
cnf(l151,plain,
( ~ p0(b,a)
| p1(a,a,a) ),
inference(instantiation,[status(thm)],[111]) ).
cnf(l71,plain,
p0(b,b),
inference(instantiation,[status(thm)],[13]) ).
cnf(282,plain,
( ~ k1(X0)
| ~ q2(X1,X2,X0)
| p3(X0,X0,X0) ),
inference(cnf,[status(esa)],[rule_250]) ).
cnf(l18,plain,
( ~ k1(b)
| ~ q2(e,b,b)
| p3(b,b,b) ),
inference(instantiation,[status(thm)],[282]) ).
cnf(38,plain,
( ~ n0(X0,X1)
| k1(X1) ),
inference(cnf,[status(esa)],[rule_001]) ).
cnf(l19,plain,
( ~ n0(a,b)
| k1(b) ),
inference(instantiation,[status(thm)],[38]) ).
cnf(188,plain,
( ~ q1(X0,X0,X0)
| p2(X0,X0,X0) ),
inference(cnf,[status(esa)],[rule_154]) ).
cnf(l33,plain,
( ~ q1(b,b,b)
| p2(b,b,b) ),
inference(instantiation,[status(thm)],[188]) ).
cnf(l177,plain,
m0(X0_177,d,b),
inference(instantiation,[status(thm)],[18]) ).
cnf(155,plain,
( ~ r0(b)
| q1(b,b,b) ),
inference(cnf,[status(esa)],[rule_120]) ).
cnf(l35,plain,
( ~ r0(b)
| q1(b,b,b) ),
inference(instantiation,[status(thm)],[155]) ).
cnf(85,plain,
( ~ l0(c)
| n1(c,c,c) ),
inference(cnf,[status(esa)],[rule_049]) ).
cnf(l69,plain,
( ~ l0(c)
| n1(c,c,c) ),
inference(instantiation,[status(thm)],[85]) ).
cnf(8,plain,
r0(b),
inference(cnf,[status(esa)],[axiom_9]) ).
cnf(l68,plain,
r0(b),
inference(instantiation,[status(thm)],[8]) ).
cnf(l144,plain,
n0(a,b),
inference(instantiation,[status(thm)],[14]) ).
cnf(l179,plain,
p0(b,a),
inference(instantiation,[status(thm)],[13]) ).
cnf(23,plain,
l0(c),
inference(cnf,[status(esa)],[axiom_24]) ).
cnf(l101,plain,
l0(c),
inference(instantiation,[status(thm)],[23]) ).
cnf(211,plain,
( ~ k0(X0)
| ~ p1(X1,X1,X1)
| q2(X1,X0,X0) ),
inference(cnf,[status(esa)],[rule_177]) ).
cnf(l115,plain,
( ~ k0(b)
| ~ p1(e,e,e)
| q2(e,b,b) ),
inference(instantiation,[status(thm)],[211]) ).
cnf(31,plain,
k0(b),
inference(cnf,[status(esa)],[axiom_32]) ).
cnf(l131,plain,
k0(b),
inference(instantiation,[status(thm)],[31]) ).
cnf(125,plain,
( ~ r0(e)
| ~ k0(e)
| p1(e,e,e) ),
inference(cnf,[status(esa)],[rule_090]) ).
cnf(l199,plain,
( ~ r0(e)
| ~ k0(e)
| p1(e,e,e) ),
inference(instantiation,[status(thm)],[125]) ).
cnf(12,plain,
r0(e),
inference(cnf,[status(esa)],[axiom_13]) ).
cnf(l206,plain,
r0(e),
inference(instantiation,[status(thm)],[12]) ).
cnf(27,plain,
k0(e),
inference(cnf,[status(esa)],[axiom_28]) ).
cnf(l219,plain,
k0(e),
inference(instantiation,[status(thm)],[27]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l4,l5,l11,l9,l7,l12,l8,l6,l40,l14,l13,l24,l51,l34,l16,l52,l57,l10,l149,l15,l58,l17,l22,l61,l28,l42,l176,l151,l71,l18,l19,l33,l177,l35,l69,l68,l144,l179,l101,l115,l131,l199,l206,l219]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SYN158-1 : TPTP v9.0.0. Released v1.1.0.
% 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34 % Computer : n023.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Jul 22 15:39:49 EDT 2025
% 0.13/0.35 % CPUTime :
% 0.13/0.36 % launching worker at depth: 5
% 0.13/0.36 % launching worker at depth: 8
% 0.13/0.36 % launching worker at depth: 2
% 0.13/0.36 % launching worker at depth: 4
% 0.13/0.36 % launching worker at depth: 3
% 0.13/0.36 % launching worker at depth: 1
% 0.13/0.36 % launching worker at depth: 7
% 0.13/0.36 % launching worker at depth: 6
% 0.13/0.36 % launching worker at depth: 9
% 0.13/0.36 % launching worker at depth: 10
% 0.13/0.36 % launching worker at depth: 11
% 0.19/0.45 % launching worker at depth: 12
% 1.98/0.60 % SZS status Theorem for theBenchmark
% 1.98/0.60 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------